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Finding the Third Proportional to 4,749.75 and 10,228.50

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Solution

The third proportional to 4,749.75 and 10,228.50 is: 22,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.75 : 10,228.50 = 10,228.50 : x
  2. Step 2: Convert to fraction form
    4,749.75/10,228.50 = 10,228.50/x
  3. Step 3: Cross multiply
    4,749.75x = 10,228.50 × 10,228.50
  4. Step 4: Simplify right side
    4,749.75x = 104,622,212.25
  5. Step 5: Solve for x
    x = 104,622,212.25/4,749.75
  6. Step 6: Final answer
    x = 22,026.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.